Degrees in oriented hypergraphs and Ramsey p-chromatic number
Tipo de documentoArtículo
Fecha de publicación2012-08
Condiciones de accesoAcceso restringido por política de la editorial
The family D(k,m) of graphs having an orientation such that for every vertex v ∈ V (G) either (outdegree) deg+(v) ≤ k or (indegree) deg−(v) ≤ m have been investigated recently in several papers because of the role D(k,m) plays in the efforts to estimate the maximum directed cut in digraphs and the minimum cover of digraphs by directed cuts. Results concerning the chromatic number of graphs in the family D(k,m) have been obtained via the notion of d-degeneracy of graphs. In this paper we consider a far reaching generalization of the family D(k,m), in a complementary form, into the context of r-uniform hypergraphs, using a generalization of Hakimi’s theorem to r-uniform hypergraphs and by showing
CitaciónCaro, Y.; Hansberg, A. Degrees in oriented hypergraphs and Ramsey p-chromatic number. "Electronic journal of combinatorics", Agost 2012, vol. 19, núm. 3.
Versión del editorhttp://arxiv.org/pdf/1112.3302v1.pdf
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